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Finding the Fourth Proportional to 161,642.52, 242,458.06 and 49,318.20

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Solution

The fourth proportional to 161,642.52, 242,458.06 and 49,318.20 is: 73,975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,642.52 : 242,458.06 = 49,318.20 : x
  2. Step 2: Convert to fraction form
    161,642.52/242,458.06 = 49,318.20/x
  3. Step 3: Cross multiply
    161,642.52x = 242,458.06 × 49,318.20
  4. Step 4: Simplify right side
    161,642.52x = 11,957,595,094.69
  5. Step 5: Solve for x
    x = 11,957,595,094.69/161,642.52
  6. Step 6: Final answer
    x = 73,975.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.